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Popular >

x^{''}+x=t+1

Solution

x^{^{''}} + x = t + 1

Solution

x = c_{1} cos (t) + c_{2} sin (t) + t + 1

Solution steps

x^{''} (t) + x = t + 1

Solve linear ODE:

x = c_{1} cos (t) + c_{2} sin (t) + t + 1

x = c_{1} cos (t) + c_{2} sin (t) + t + 1

Graph

Popular Examples

y^{''}+6y^'+9y=e^{3x}ln(1+x^2)

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{3 x} ln (1 + x^{2})

y^{''}+36y=36sec(6t)

y^{^{''}} + 36 y = 36 sec (6 t)

2y^{''}+y^'-y=3e^{-x}

2 y^{^{''}} + y^{^{'}} - y = 3 e^{- x}

y^{''}-y^'=9te^{2t}

y^{^{''}} - y^{^{'}} = 9 t e^{2 t}

q^{''}+20q^'+100q=24,q(0)=0,q^'(0)=0

q^{^{''}} + 20 q^{^{'}} + 100 q = 24, q (0) = 0, q^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for x^{''}+x=t+1 ?
The solution for x^{''}+x=t+1 is x=c_{1}cos(t)+c_{2}sin(t)+t+1